A kinematically stabilized linear tetrahedral finite element for compressible and nearly incompressible finite elasticity
| Autor: | Guglielmo Scovazzi, Rubén Zorrilla, Riccardo Rossi |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: |
Mechanical Engineering
Computational Mechanics Nonlinear elasticity General Physics and Astronomy Elasticity -- Mathematical models Enginyeria civil::Materials i estructures [Àrees temàtiques de la UPC] Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits [Àrees temàtiques de la UPC] Variational multiscale method Finite deformation Piece-wise linear interpolation Computer Science Applications Mechanics of Materials Stabilized methods Elasticitat -- Mètodes numèrics Nearly incompressible elasticity |
| Popis: | We propose a stabilized linear tetrahedral finite element method for static, finite elasticity problems involving compressible and nearly incompressible materials. Our approach relies on a mixed formulation, in which the nodal displacement unknown filed is complemented by a nodal Jacobian determinant unknown field. This approach is simple to implement in practical applications (e.g., in commercial software), since it only requires information already available when computing the Newton–Raphson tangent matrix associated with irreducible (i.e., displacement-based) finite element formulations. By nature, the proposed method is easily extensible to nonlinear models involving visco-plastic flow. An extensive suite of numerical tests in two and three dimensions is presented, to demonstrate the performance of the method. This research is partly supported by the European High-Performance Computing Joint Undertaking (JU) through the project eFlows4HPC (grant agreement number 955558). The JU receives support from the European Union Horizon 2020 research and innovation program and Spain, Germany, France, Italy, Poland, Switzerland, Norway. This publication is also part of the R&D project PCI2021-121944, financed by MCIN/AEI/10.13039/501100011033 and by the “European Union NextGenerationEU/PRTR”. The authors also acknowledge financial support from the Spanish Ministry of Economy and Competitiveness , through the “Severo Ochoa Programme for Centres of Excellence in R&D” (CEX2018-000797-S). |
| Databáze: | OpenAIRE |
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